{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import Essential Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.colors as mcolors\n",
    "from matplotlib.lines import Line2D\n",
    "from sklearn.preprocessing import LabelEncoder"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Global kmeans methods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from global_kmeans_pp.global_clustering import GlobalKMeans, GlobalKMeansPP"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Synthetic Datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_artificial2D(path, skiprows):\n",
    "    full_path = \"./Artificial/\" + path\n",
    "    df = pd.read_csv(full_path, skiprows=skiprows, names=['x', 'y', 'class'])\n",
    "    labels = df[\"class\"].to_numpy()\n",
    "    label_enc = LabelEncoder()\n",
    "    labels = label_enc.fit_transform(labels)\n",
    "    df.drop(columns=[\"class\"], inplace=True)\n",
    "    data = df.to_numpy()\n",
    "    \n",
    "    return data, labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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19UVAy5LMks1lGNGnKw6fvap5o6Vmt8CGTkREZHoMPhSQqmoqRaz3MaRgO6rqmlpv16IEO0u9ExFRuOCyi0z+qpoG4hl4AC0BydNrivHW9hOqVEEVgyLv2Rgu/RARkRkx+JApUFXTYLyx/STuemU7tn4ZfHDAUu9ERBRuGHzIpFW10qq6RsxYW4yCrWVBPV5JqXciIiIzYPAhk9bVSn+3uxxbv7yo+HEs9U5EROGGwYdMgaqaquHFjaWKl0dY6p2IiMINgw+ZPKuaSpn9YC8kxscEfY6quibFyyMs9U5EROGGwYcCo3PT8X/vzYJ36QyrBXjq3ixYLBbUNzaHdI6PSiuw//QV2TMg/kq9i98vGpfDeh9ERGQaFkEQTLUNwul0wm63o7q6GikpKUYPp41AdT7iYyxobFbn5VRao4N1PoiIyEhKrt8MPm4KVB202S1g+PIdqm+3lSKeecW0QbKDB1Y4JSIioyi5frPCKeTNGmhR58Mfz/Lso3IcsoKIGKsFQ3umaT42IiKiUER9zofc6qBGbFVljQ4iIopEUR18KKkOauRWVdboICKiSBLVwYfc6qAHTl+B2y2gY4c4/QbngTU6iIgokkR1zofcGYVn1xbj2vWmwAdqoGNiHGt0EBFRRInqmQ+5MwpGBR4A8Pg9WdyxQkREESWqgw89SqaHomOHWMwc0cvoYRAREakqqoMPf9VBTcFiwbaySqNHQUREpKqoDj6AlpLpK6YNgsPedglGr+TSpPgY2GJ9hz7X6pvabPclIiKKBKxwepN3dVC3IOCxdz/X7fz+pNsTsGf+COZ+EBGRabHCaRC8q4M2uwWk2xNQWd0g2ctFL2KhMVYvJTIXtjQgCg6DDz8evTMTb3560uhhAGChMZJm9AXQ6PMbhc0ciYLH4MOHotIKPP/+V7hWb9wWW28sNEa+GH0BNPr8RpHqcC22ZVDSEJIoGkV9wqm3otIKPL2m2FSBR2oSC41Re1J9iSq8+hLpfX7vvkh6aXYL2H/6CjaWXMD+01fQ7NZmwVRJWwYi8o0zHx6a3QIWbyoLeNwtNitqXW4dRtTi5Qm5UTGNTfL5uwACLRfBBe9/JbsjsprnF2974YNSjOjTFfGx2n/G0XMGRm5bBuZpEUnjzIeHg+VVqHQGzq2odbmRmhSvS22Qp+7NwpgBGTqcicJJoAsgAFytb0LhDumcpWBnCprdAv6wtzzg+a/UNeKOlz/B1i8vynreYOk9AyM3/4p5WkTSOPPhQcmbxb/kZeC9vWdgATTZDZOWFI+lE3IxZgDXjak9uX+r7+09g5kjstvNfgQ7U+Drcf7UNDRjxtojeOrba1gwJkfWY5QINANjQcsSiJozQHLzr5inRSSNwYcHJW8W9g7xWDFtkKI3YjmeGNYDo3IcUbNjgIKjpC+ROP0v7krZXlaJ3+890+5Ycabg7amD0Ckpvt3uFakkSzl+t7scA2/rpHowbcQSiNiWQWobvgWAw57APC0iPxh8eBiclQpHSoKspZf1h85hz/wRGJXjaN1m2DnJhl/8z1F85wyuNsickb0xa2R2EI+kaDM4KxUdO8TJanp4qaZB1oyF+Dc7c10xPFdg0u0JWDi2L5ZuOR7SLN/CjaV4KFfdHBQjlkDEtgzPrCluN/Mp/mSLxuXwwwORH8z58BBjtWDxeHlTw+KnKbE42YS8WzEsu3Pr44N52+nROTGIR1E0irFa8PiwLFnHnrlc7zMnQop36kdldQNmrD0S8gzflbpGHCyvCuk5vMmdAeqcZJOV3yI3D0aqLYPDnsBttkQycObDy+jcdDwxrAf+y8e0tDdfn6bEN6VglmPOXK5XdDxFt5kjeuG9feWS28ItALqm2LDu4LmQZizUzGlSOwlTzhKIPTEOv/ifo21mNH3ltyjNgxmdm95m5jOaCqwRhUrxzMfu3bsxbtw4ZGRkwGKxYMOGDa33NTU1Yf78+ejfvz+SkpKQkZGBn/70p7h4Udtsd7WNynHIOk7qU9fo3HTsmT8C654cgrcm5+HP/+dudE2OD/h86w+dY20Aki3GasGrk/r7vE+8/E0Z3E3WMqJeLte4VK3D4a8ztbgkcq2+qd1r4L0TJtgdM54zn0N7pjHwIJJJcfBRV1eHgQMHorCwsN199fX1KC4uxsKFC1FcXIz3338fJ06cwPjx41UZrF7ET1NSbyMWtHwi8pdQ1mY5pldnTL27e8Dziks5RHKNzk3HymmDkC4x/d+jc5JBI2vPagGWbjmOWetLMGX1AQxfvkOVbbBSSyBdU2zomOi7O7VnMbDrjc349w9KWTSMSEchdbW1WCz44IMP8C//8i+Sxxw6dAiDBw/G2bNn0a1bt4DPaVRXW2/iJyHAd0KZ0nXdjSUXMGt9ScDj3pqchwl5t8ofKBGk+6vsP30FU1YfMHp4PgX7b0mK92uw/9Q/8J87Twd8XHJCDGoamgMe98KYPnhi+O2c3SCSoOT6rXnCaXV1NSwWCzp27OjzfpfLBafT2ebLDNROKGNtANJSjNWCwVmp6JKcgEs1LTNozW4BeZkdjR4apK7Vas8qeM42fvb1d7ICDwCyAg8AeGXr/+KOl7fpXjaeKBJpmnDa0NCA559/HlOnTpWMggoKCrBkyRIthxE0NRPKWBuAtCSVLDnMwPLethgrxg3MwF+Lv5U8Ros6HFu/rMDvdper8lzertU34ek1xVjJHS1EIdFs5qOpqQmTJ0+G2+3GO++8I3ncggULUF1d3fp1/vx5rYYUFLUSygIlxgGsDUDB8ddg7q/FFwwaFeBqdvsNPDyFugtG3CL7ty/O45d/PRrSc8mxeNMx5oAQhUCTmY+mpiY88sgjKC8vx44dO/yu/dhsNthsNi2GYTpS23AdUdCCnLTR7Bbw/PtfaVLiX09ylhul8lqUlnxXQ6XTxcZxRCFQPfgQA4+TJ09i586dSEvjP05PrA1AairccVKyzkc4kLvcWFRagcWbjqHS6Wq9zZFiw4S8DKzaXW5I8MXGcUTBUxx81NbW4tSpU63fl5eXo6SkBKmpqcjIyMCPf/xjFBcX48MPP0RzczMqKysBAKmpqYiPD1zrIhqISzlEoWh2C3hPRjE8swi2FHlRaQWevrnzzFOl06VZboccTA4nCp7inI8vvvgC+fn5yM/PBwDMnTsX+fn5eOmll/Dtt99i06ZN+Pbbb5GXl4f09PTWr3379qk+eKJodrC8SlZvFzOYMzK73c4xe4c4zB6Z7beon7isZDaOFBuTw4lCoHjm4/7774e/0iAhlA0hIgXCZdo/NSkOM0dkY+aIbBTuOIX39pbj2vUmXLvehDe2n8T6Q+clc54OnL5iymWlxeP7camUKARsLEcUpsJl2v/lCbmIsVqwrawSb24/0W62xl8J8/3fXNZrmLJYABROzmNyOFGIGHwQhalAbQDMYFROF4wZkIFmt4Alm8uCKGFurp9OAPDKR//LQmNEIWLwQRSm/NWOMYvSC87WLbL+tsJ6FhvzZMbE7EDN5ogoMAYfRBoSi18F6uQq9zhvUm0AzEIMKOTmp3gfN+T2NMnmcEZhszmi0GlaXp0oUkkVvPIkVfLcO7lS7nFSvGvHXK5xYemW4yr8lOoQXyM5xOM8X9/H7+mBN7af1HKIimlRFp4omjD4IFJo65cX8eLGUlTV/TNx0jtYEEuee38uFqfsxeaEco8LxLN2zMYS40qq+yIGZ3J7G/kKxjomxgEC2iSr3mKLQa1LXlM4rYTLjiMis+GyC5ECBVvLMGPtkTaBB9DyKVjMA5CbXNl4wx1kEqZ/ZtkFY0FLUCbOCsnpbbStrNJnn5rq+iZUX2/CnJG98dbkPKx7cgim3p2p+c8QiFlea6Jww+CDSKZA3VIFAP/+wVfYd+qyrOTKP+0/E1QSZiDB7IKxoKVwVlJ84LcEy82vOSN744lhPVpv8z4GaFu9VCo/xWFPwIppgzAqxxEwGFt/6Bx+NCADQ3umod7llvfDacRqAe7o3snQMRCFKy67EMnQ7Bbw4sbSgMdV1TXhmT8flvWcZ6vqZR2ndGpfnGV4Zk1xu5LmUgQAL/2oH6xW+Cxl7sm7EeLgrFTZzRL99Tbaf/qK7GBsaM80WCzG7vFxC8Dhs1eZ80EUBAYfRDIcLK9CVV2jrGPl5iF0T02UddzlGhea3YKiippSHZTFnSO+qoYu3VKGReNysHLaICzeVIZK5z8fl5oUh4l5t2JkjqNdcq3SZolSvY2U7ojpkSbv9dMScz6IgsPgg0gGNS8yYnLl9KE98O6ecskkTNHSLcfx7p5yWbtfvHfh7Jr3AA6fvdomKPi4tAIz1h5p91jPJNe9z49Q1HlZjWaJSnfETB/aA69sPQ4tdrumJcXjioxgkzkfRMFh8EEkg1oXGc9ciPhYa+vySCBydr/427I7Ie9WAC3BidQ2XOHm+JZsLsOoHIfuywlKdsQAQHysFU/+ICvkzrZzRvZGt9QOqKprROotNjhSEnBH906479c7ZY+FiJRhwimRDOKFMVT2xLh2AYRdRhGtQLtfxC273jkT3tU4g600qge5O2I8Z2AWjMnBqJwuIZ33+45bMHHQbfjXH9yOifm3YmjPtNbAUMlY/Am2iBxRpGLwQSSDeGEMNcXRagFG9OkK4J8Bg9yurVKBgZK+KcFWGtVLoB0x3rM+zW4BpRecIZ3TO6ATAwXXDTdmj+yNrinyxiKlqLQCw5fvwJTVBzBrfQmmrD6AYa/uwFvbTzIYoajFZRciH3xVMB2dm463pw7Cs2vbFwWTq6quCUMKPsXLE3KxdIvvgCEQ78BAyWyG0rwKIyhJYA30s8vhuYPG19KVI8WGOSOz0aNzkqz8F0+SReScDXhj+4nW75VUtCWKBAw+iLz4y53olBQfdOAhqqprxIy1gfM8pHgHBkpmM340IENRXoVR5CawqjVDc6mmQTJQ+M7pwpvbT2LFtEGK8mCa3QIWb5IXYCqtaEsU7rjsQuQhUO7Ef+8LLbkxVOk+AgMlsxnB5FWYmVozNJ1vsalebbZwx8k225X9YbM6ijYMPohuCpQ7IQAoOvadzqNqy1dgEKiiqWeZc0B5XoWZBVPN1VtaUjwgQNVE3KLSCsXN8IxM9iXSG5ddiG5SI39AK1YLUDgl32dg4K+iqdRshtLCYGYV6GeXM4ewdEIuLte5ZJ1PzjKPGMQGi4XLKBpw5oPoJjO/6RdOGYQxAzIk7w9mNkPMq5iQ17K9NNwCD5HUz941xYak+Bi/j02yxeChXIeqibihBrEsXBZ9onErNmc+iG4y45u+kl0QkTKbEQxfP7tbEPDYu5/7fVydqxkHy6sUFzjzJ9gg1izJvqQvfwnu4bQEqhSDD6KbAl2A9JCaFI+3Hs1DVX1jUMGDGmXOw5X3z76x5IKsx12qaQhq6UpKMEFsOCb7Uugkt2JHwe4nLrsQ3eRvJ4hequoaERtjDZulkEDTxaHeHwqlSylqJeLKSYL1vi8ck30pNEqKA4ZyDrMu53Dmg8iDVDdYPcndnmm0otKKdt1vHSkJWDy+Zbo40HSy1tPNwSylqLF0JWcW5e2pg9ApKT7qlsfon5QUBwxmNtPsyzkWQRDMEwoBcDqdsNvtqK6uRkpKitHDoSjlWeH0zOU6xdsmQ5GaFIdlE/ub4g1CSlFpBZ720xDvqXuzsGp3ebuLvnh5/b8B7ldrFkCc1gZ8BwFazjaY/c2fjLWx5AJmrS8JeNzMB3oiu2uyoiBVajlH6797JddvBh9EMhSVVuD597+S3YclVBZoe2EMRbNbwB0vb/P7WlgsgNQ7i+Xm/f5mgDt2iMPbjw3CkNtDX3oyMgjwVabf8+cJdD9Frv2nr2DK6gOKHiP+3fqbnWt2Cxi+fIfkrIo447dn/gjV/9YYfBBpoNktoHDHSfx+TzmcDTc0PZeWbxDBXvDEx+05+Q+8/dlpVcckRa0gwYwXec6MRDcxSFCS4C4u43VMjGsT/Hv+3cgNatY9OUT15HQGH0QaanYLmP/Xo/hrsbzdFKFQ+w0i2Auer8fpQY/lES1JBT1GTYuTuUgtCyrl+XfjuuGWtZzz1uQ8TMi7NYSztqfk+s3dLkQKxVgt+EHv7+lyLjULnwXqW1NUWqHocXoI554nRaUVGL58B6asPoBZ60swZfUB3LF0G97cdgKLNx3TdJcDhQepHVZKef7ddE6yyXqM0XWNuNuFKAh6/cNV6zyBtvVZ0PLGNSrH0S4nQepxegk1698IUjMb16434c1P/Scvh+PPS/J5z4aNynG0yeE4+V0tCneeUvy84t8NLAiLztUMPoiCoHVBMrXfIILd1hdsqfCEWCsabriDGaokI8rfe18o7ujeCYfPXvWbO6JWwGbmcv8kj/ffz9U6F5ZuOe532XP/6StBBR+iy7Uu1QrmaYnBB1EQ/NVyCJUWbxByL2Tex20rqwzqfGoHHoD+08S+8lysXrt0fOXLqNWg0OhpcQqN3Dwp72qmoX6w6ZKcgKE903zWK3KYKKGZwQdRkLQqSKbFG0QwjdO2fnkR/7X3jGpjCJYR08RSyybeaRi+ymCrMWPRsUMc3IKAZrdg+CdUUk7q78cX72VPAJh8Vze8sf2EonN6/zsxe68nBh9EXpRsy/T1D/zzby7jzU+Dmzad+UAvzBnVW/U3CDmfpjomxrW+cW39sgIz1x1RdQxymGGaWMmyia98GTVmLK5db8Jj737OrbdhKJhlN3HZs3DHKaw/dC7oDzPe/07M3OuJwQeRh2C2oor/wMWgpSqEQmTDenXW5CIrLhP5q0p6rb6pdZllxlrp47QyZ2Tvdm+8as8CyQkslS6beOfLiIGeGrNh0dBgLNKEsuymdLZDZLEAb08Jr78RBh9EN4XSYTLUOhh6LC2MynG0K07kbfGmY9C7rZ74s88c0QszR/TSbJpYbmAZ7LKJ+DjPfKBQc4H87UQic9oeZJ5UKAQBOHmpVvfzhoJ1PogQWofJUOtg6LW0cLC8KmB5+EqnS9fGdt4/uziLpHZXXyU1ToJdNikqrWztHDoqx4FZD2YjIdb3W6ySn8pzZoXMrai0Ar83KE/qvX3lYVUbhjMfRAh+K6oa2yq7ptiweHw/zadMjd66mRgfA1usFVc9AiCHPQGT7+oG1w039p++oklCnJIaJwDw+TdXgjrPR6WV+Ki0Eh0T49B4w436xmbJY5NsMah1Sd/vi9G/P/JP/DszyrX6prCqDaN45mP37t0YN24cMjIyYLFYsGHDhjb3C4KAxYsXIyMjAx06dMD999+PY8eOqTVeIk0EuxVVjW2Vv3kkT5e1WqO3btY3NuNqfRNSk+LxUL+uGNyjE5zXm/DG9hOtFUCHL98hWWk1WHIDy8IdpzDs1U8DFgEL5Fp9k9/AA4DiwAMAzlyuC3ZIpAO1tliHIpwCVMXBR11dHQYOHIjCwkKf97/22mt4/fXXUVhYiEOHDsHhcGDUqFGoqakJebBEWglmKyqgzj/2y7WukJ9DjsFZqUhNitPlXP5U1TXi42Pf4eCZq6jzukhXBCj1Hgy5v6M3tp9ApVOf30Uw3th+UvXAjNRjhgu/0R8wlFAcfDz88MN4+eWXMWnSpHb3CYKAN998Ey+88AImTZqE3Nxc/Pd//zfq6+uxdu1aVQZMpAVxh4LUhL8FLcmJ3gmhavxj1+sNI8ZqwUSVG0lpQYC6vU3C6Q3ZH3F5KJzW9aOJkX9nUu9PZqZqwml5eTkqKyvxwx/+sPU2m82G++67D/v27fP5GJfLBafT2eaLSG/iDgWgfTKgv4TQQEGLP0a8YYy8mddgdmomWIbyOzITcXnoD3vDK7EwWoh/Z0YxQ8l0JVQNPiorW7YYde3atc3tXbt2bb3PW0FBAex2e+tXZmammkMikk2qw6TDniC5zVYMWqQaOPn6f8/v9X7DCKcLcWX1dVWeR05gGU6WbjmuSW4MhSbGasHCsX11P2+6n/cnM9Nkt4vF0vaftCAI7W4TLViwAHPnzm393ul0MgAhwwRbkthX/Qx7YhxendQfAEzTY0HLnjRqq6prVO25pErht+y2ycQb20NLMtUbi4+ZUyeZ7ezVMH5gOqYM7q54h5iSCs5aUjX4cDhapnQrKyuRnu5RtOfSpXazISKbzQabTb9fGFEgSkoS++vhUH0zGDFbjwWtetKoLfUWdd8XpH4PALD+0HnNOhRrgcXHzEnPpNNdJ/6BMf3TFf3ug6ngrBVVl12ysrLgcDiwbdu21tsaGxuxa9cu3HPPPWqeishwcmp8iAmCWhXPCtbo3HTsmT8Cz97f09Bx+ONIUX/93Nfvwd+yjJmx+Jj56Jl0Wn39hqKdYUoK7elBcfBRW1uLkpISlJSUAGhJMi0pKcG5c+dgsVgwe/ZsLFu2DB988AFKS0vx85//HImJiZg6daraYycylJLCZGYUY7VgePb3jB6GT3on4krl+4QDM2zxpBZ651QJAH75P1+i8Ybb73GhVHDWiuLg44svvkB+fj7y8/MBAHPnzkV+fj5eeuklAMC//du/Yfbs2ZgxYwbuvPNOXLhwAZ988gmSk5PVHTmRwYItTGYmRmfoSzEic390bjp2zXsAqUnxup5Xyr/kZcg6LlK2EkcCI2bRal03kL/0E78zF2b8oKQ4+Lj//vshCEK7rz/84Q8AWpJNFy9ejIqKCjQ0NGDXrl3Izc1Ve9xEumh2C9h/+go2llxo7dshkltx0swXB/HN0l99k6fuzdI1QJkzsrdhSZSHz15VNdE1FD+5IzOo2jNkLCNm0epczXjaz9KJGT8osbcLkQR/yVkAAu6Q0KNTrRqkElA9E9H+bXTf1kTNzkk27PvmMt7eeVr1sThSbJg5opfqzyuXGWapxL+bIT3TJHcmGbVVm+QRk5vf2PY1CjX4dyJFKgE52ArOWmLwQeRB3Ia2rawS/+WjO6WYnGVPlFemXLw4mGV7m5RAO3K8dwBZrRZNgo/F4/sZ+roYPUvlHVT42yJsxA4Fki/GasGwXt/TNfjw1fwS+OfyqtSOLiM+KDH4ILrJ10yHN/EfbqDW9AAw++bygZm2t/mjZIuxnDezjolxbTrY+mO1AIVT8g1/PQL9XFrzFVSYbas2ySf+Pem5pd3X7J2/+j5GzaJZBEEw1dZ2p9MJu92O6upqpKSkGD0cihL+6nUE663JebDFWv0+778O64GROY6wvJiIrxng+81sxbRBANoXWPPlnamDMGaAOQIxfz+Xmn8fSbYYvDNlEGJjrLhc52JQEaG0eG/xZ92TQyQ/RGj9QUjJ9ZvBB0W9ZreA4ct3qP7p5M//ejd++dejsp7XjDMhcsh5M/NcytpQcrFNQqdZf26pn2vh2L5YuuW4ajMj/i4UFDnkzKqGSlw62TN/hN8AVsslYAYfRArsP30FU1YfUPU5LQAmDboVfyu+IPt4AGFZLlvJm5nZc188SY1VamYkGG9NzsOEMOg0TKFrdgt4Y9sJFO48pfpzm+X9Q8n1mzkfFBX8XfS02OEgALIDD/H4cC2XLTdXJJwCD0D65/K3O8h5vRF1jf4LPnkyOsGV9NOSgNpZk+AjHBOQGXxQxAu0NGCWC4BnoZ9Im4r39TtwpCRgyuBu6NE5MSyCEU++kkDdbgGP/f5zWY8Pl23YpC41ElB/OrQ7HurnAASEda4Qgw+KaFLJXp5dQUflOAzd4eDtUk1D2M0S+CP5O3A24I3tJ1q/N2v+hxTvmZGNJfJnugDW6IhGnrtOgn2veTg3PSI+nKjaWI7ITOT2MwBgqsZiZy7XYfjyHZiy+gBmrS/BlNUHMHz5Dt0bP6lBTvM9kVENrtQidwYtLSne8LV5Mo64bNdRZq0gUaRVtGXwQRFLST8DqZLI6fYEzBmZrfFIW1gAdEqMwxvbT5qm82SoAv0OPBnV4EotcpqKpSbFYf+CBxl4RLnRuek4/OIozBmZjcT4mIDHR2JFWy67UMRS2s/Acx2/svo6quoakXqLDV2SbXCk2FDpdGk2VvHtROqSG64JqUqTecM570VOIadlE/sjPpaf+ajl72XWyN6YOSIbB765gv2nrwAQEGu1Yv2h86h0RnZFWwYfFLGC6WcQY7Wg+nojXvv46zaf2JVOkSrlsCdg8l3d2uRAeAvHC3Owybxm6LESDJZDJ6XEXTDDenVuve3/fTA7YnK+pDD4oIgVTD8DqeTIapllwoP1owEO9OicKOvYcLowB1uu3Cw7kILBcugUKiWtDsIV5/8oYonT4ED7RFJfa6hyElS1svrvZ1D+jzpZx4bThdnf78AXX0l1zW4B+09fwcaSC9h/+orq+SByn1/JOMSLx4S8WzG0ZxoDDyIvnPmgiKZkGlxJcqQW3t1TDkeKDd85XabpPKkGqd+BN18Boda9KOQ+f7g0ByQKFyyvTlFBTt2MjSUXMGt9iTEDvGn2g9l469OTAKSbtYXrxc7zd3Dmch3WHTzXJonX+2IutQSm1msh9/kDNQabM7I3Zo7oxdkNinrs7UIUBC16vCj17P090f82e1R8yvYXEAZq9ie3iZa/c8t5/l3zHsB9v94ZcEbMkWLD4vH9Iur3Q6QUe7sQBSHY5Eg1fXu1HvNG94mKhEV/SXVKarQoTcxrdgv4w95yWc//p/1nZC3FVTpdrRVzGYAQBcbgg+gmf3UajBhLpGe7+6O0RotcSlubn62qV/T84VaHhcgo3O1C5EGq0qlebkuVt902kvjaRSJ3R8/J72pl74ARczeUJBV3V/D78JyNISL/OPNB5GV0bjrcbgHz3/8SNQ3Nup47Lso+MUvtIlk4NkfWEljhzlMo3HlKMidGzCupdDZg6YfHFM1mdUqMw/ShPfDunnJFS3HhVIeFyCic+SDyUlRagWfXHlEl8EhJiMXj93THn//1bllVUt/89JSu/Vu0rqHhj9RMRGV1A55dW4zxA1sCCTnhmK/eN0WlFa0N+ub8pQRVdcoKxV2tb8L2skpMvqtb1BRII9ILd7sQeQi0C0KOW2xW1Lrcrd+Ln8oB4Ok1xQEfb0+IxcwR2eicbIMjRbtkU1+zDqlJcXh5Qi7GDMhQ/Xye5O42WTi2L5ZuOS7795GWFI/9Cx7Ejv/9LqS25SKrBZAbj4W6A4co3HGrLVGQtNhu61k34uvKWr/9W3zRYpttoNoVT92bhQVjclQ7nze5r/O6J4fgal0jXtxYiqq6RlnP3SkxFgIsuKZxSXxPkVCHhShUSq7fXHYh8qDFer1nq/huqR0UP76iugFPrynGW9tPhrQsIi6xfHDkAv79g6/8zgr8bnc5lmw+ptlSjNzXeXtZJZ5dWyw78ACAq/U3NA88vCc2HPYEBh5ECjDhlMhDsOv1t9hiUeu6IXm/uBNCyUXU2xvbT2DdwbNBFbNSusUUAN7bewbv7T2jycyL3Nf5g5ILhm55luIWgIVj+6Jzsi1i67AQaYkzH0QexEJjUpcRsfHZnx4fjJkP9MTMB3rhz//nbvzkjltlPX/qLTa/zx+IWMxKSVJqMFtM25zTRzJnqOS8zmlJ8YqTRPXUOdnGxnFEQWLwQeRBbifcH3z/e/jlQ33wy4e+j5qGJry376ys53ekJCjq8iplyeYyWcsh/jr1yuW5bKTWEoyc13lCnrZJr6Hirhai4DH4IPIiVWjM17q+eHEPxLNVfKiFzJQUs1KrU68WBbQCvc6jchyqnUtt9oTYsOsuTGQmzPkg8mF0brqs/ipyL+4C2raKF5//wOkreHZtMa5dV768ICdpU+0EWrWfz9/r3OwWDO+1I2VUTlcutRCFgMEHkQQ5/VXkXoyfGNajXcJmjNWCYdmd8er/0z+omhRypv3VXhrQYqlB6nX27LVjNskJgQvGEZE0LrsQhUDuxdjfEoK4/JAucxnGgpYW7m5BCFiZNFBip1yey0aBqFk1dXRuOt6eOqjd1lajvbfvjK6VaIkiDWc+iEIgXtyllgbEqpeBLtqeyw+V1dex99Rl/LX4gs/nEwA03HDjsXc/b73d13ZYsa/JmFwHfr/3TFA/nyfPZSMpUr1aQtmq2ykpXnaVUT2xgy1R8DjzQRQCubtj5FygxOWHiYNuw388koeVPmZD7Df7w3gX0fLeDuvZ10QMPCwhXCNnj+wdMHjw16sllK26Zm3UJibgGtkfhyhcceaDKETison3J35HiJ/4vZMxOyfZ8Iv/OQqgfXKqgJZgZ8nmMrjdwLNr2+eQhNJIoUfnltby4mzKpZoGdL7FBgjA5ToXOt9iw+JNvrvGeo4tmJkCM29p3VZWibn/X4mqMz1E0YC9XYhU4nlh1qLqpdx+KKlJ8SFVUvVl1oPZ6JuerLhKqrd1Tw4JmMTrTY1mf3pinxeKVob2drlx4wZefPFFZGVloUOHDrj99tvxq1/9Cm63O/CDicKYuGyiVdVLucsPagceAPDWpyfxdAhVUkXBLKF4Lm2ZidSvV4uibESRRvXgY/ny5Vi5ciUKCwtx/PhxvPbaa/j1r3+N3/72t2qfiiiqnLlcb/QQQhbsEsro3HS8E2DXiwVAx8Q4OFK0XaYRh+AvrtCiKBtRJFE952P//v2YMGECxo4dCwDo0aMH1q1bhy+++ELtUxFFjWa3gHUHzxk9jKCJu37u6N4J+09fCWppasyAdBQiHzPWHvH5/ADw6qT+bfJk/n7iHz53DYWia4oNY/uny9pBZNZkWSKjqR58DB8+HCtXrsSJEyfQu3dvHD16FHv27MGbb77p83iXywWXy9X6vdPpVHtIRGHvYHkVKp3heSETA4PxA9Nx3693hpScOWZABlZaLQGTe8W8kh8NyMC249+h+rp0x2GlfvNIHqwWi6zgw8zJskRGUj34mD9/Pqqrq9GnTx/ExMSgubkZr7zyCqZMmeLz+IKCAixZskTtYRBFlHD+BO2wJ2D8wHSs2l3ebjeMuA1XSXKmr11AsACXa13Yf/pKm9mUbWWVqgYeQMt5fjQgQ5X6LkTRSvXg4y9/+QvWrFmDtWvXol+/figpKcHs2bORkZGBn/3sZ+2OX7BgAebOndv6vdPpRGZmptrDIgpr4fIJWrzo/sePB+JynQtdkluWWu779U5Vt+GKyb1FpRX45V+P+pxNGZXjCNj07xZbLJZO6IdzVfV4Y/tJWefukpzQpvS7WPhNpLS+C1E0Uj34mDdvHp5//nlMnjwZANC/f3+cPXsWBQUFPoMPm80Gm82m9jCIIoqcSqpdU2wALIYtz3hedIdld269ff/pK353yXgmZyrZhisWNZOaTZk9Mjvg7pxa1w047B0wcdBtyO5yC2auOyKZSOo9m6FVfReiaKB68FFfXw+rte0mmpiYGG61JQqBnE/ai8f3A4CgmtSpQeqiK3fJSMnSUrNbwJLNZX5nU96TWVJePO+YARkohAUz1rZvZCc1myG3+zERtaV68DFu3Di88sor6NatG/r164cjR47g9ddfxxNPPKH2qSKC1oWpKHLI/aTt6xgtJcbHYPX0OzFEoraJ3CUjJUtLB8urAs6mXLvevhJsoPOOGZCOlVZlsxlyuh8TUVuqBx+//e1vsXDhQsyYMQOXLl1CRkYGnnrqKbz00ktqn8rU5AQVWjThosgm55N2u4RMjzLoH31VgaJj36k6pvrGZtS4miSDZrWa73mSO0vSsUMcqq83KTrvqBwHkm1x2P/NZQAtgcWQ29UvGkcUzVheXQNyggqp9WqWZiatbP3yos8aGaESL+J75o+QvECLf++A7yUjpX/vckvNzxnZG29uPyH7vPxAQBQ8Q8urRzs5nT0DrVcDLM1M6tr6ZQVmrlM/8ADkVfMUl4wcXl16HfaEoAJtcTZFai7CgpagYeaIXrLPq1VXXiJqj11tvYSSgyEnCW7J5jIkJ8Rpkv1P5EtRaYXPJEq1BVoKUTM5U8lWVznnlftvN5iuvETUXtQEH3rkYMhJgquobsB/7zsja8zhXFiKzEG8qOpBTsKomsmZSra6Bjqv3H+7/EBApI6oCD5CycFQUoFRbrDwSZm8hL9wKSxF5hXooqqWdIOqeao1m6LFdmAikhbxOR965mCoFSyI69UszUyh0utiaWQ1T3FWY0LerRgqsd03EC22AxORtIgOPuQGFQcUVGD0J1ASnBwszUxq0uNiOWdk77DfCSI3gZUfCIjUEdHBh9x13Jb9/IHJ+RQ5+a7MkKpLdk2xcZstqUZJQJyaFIfCyflY9+QQzHygp6zn75QYh5kjeoU2SBMQE1gBtHut+IGASH0RnfMhf8pZ3hvK5RoXNpZcaF1XBtC61vzNP+rwx/1ncLVeXlXFUMdCJIe/XSGix+/pgR/2c7TJlZD7b2dS/q0Rc0FmrxYi/UR08CF3ynlozzT8rfhbyQqMAGC1AEu3HG/9/hZbLNyCgPrGZhVG+k/fOaUTXFmKnYIhdVH1t5NL7r+dkTkO1cZpBuzVQqSPiA4+5JZ1HnJ7WsBPh965prWuG+oPGF71QGxxrW3Jr9a5sHTLcVZepKAovahqURI9XLBXC5H2Ir68upKyzr625FosgLleoX9iKXbSktol0YkosrG8ugclZZ1H56Zjz/wRmPVgLyTFxwAwb+ABtFwQBADP/+0r7D11meXYSVVql0QnIhJF/MyHSG6+RMHWMvxud7lq59UTl2FIC8w1IiI5lFy/oyb4kGPrl/r0wNAKp8OJiMgoXHYJQrNbwIsbS40eRkjYEZeIiMIBg4+bDpZXoaqu0ehhhExuNVYiIiKjMPi4ySwNo+wJsaqUGTPLz0NEROSNwcdNZmkYZbVaWmt9hMIsPw8REZE3Bh83iUWVjHa1vgnjBjjabW+Uu7mADbCIiMjsGHzcJPbAMMMGws1fVmLh2L5Y9+QQPDGsB4D2FVZ9YQMsIiIKBww+PIhFlcwwA7J0y3Hc0b0TPiqtlP0YFn8iIqJwENG9XYLh2QNj76nLKNx5ypBxVFQ34E/7z7Qp9S5l5gO9MKxXZxZ/IiKisMCZDx/ExlLPPZgtO9dCC2er6mUdl931FgztmcbAg4iIwgKDDz8On70qK9dCqbxMu6zjuqcmyjqOO1uIiCicMPjwQ26tjBF9vqfoecf2z4AjxSZ5v7hjZfrQHki3J0gmwXJnCxERhSMGH37InVF48gc98dS9WbKft/Mt8Vg8vh8saF/Pw3PHSnysFYvG5bS53ddxXG4hIqJwwuDDD7H2h5yZhwVjcvCnJwbLel6HvYPsduVsa05ERJGGu138EGt/PLOmGBb8s3Eb4Hvm4Z5enZFuT/C7Q8VzmcRzZ42/duVyjyMiIgoHFkEQTNX+VElLXr0UlVZgyeayNkFFuj0Bi8bltJt5KCqtwDNriuHrRbWA7e6JiCgyKbl+M/iQqdktyJ55UBKsEBERRQIGHyagJFghIiIKd0qu38z50IhYqIyIiIja4m4XIiIi0hWDDyIiItIVgw8iIiLSFYMPIiIi0hWDDyIiItIVgw8iIiLSlSbBx4ULFzBt2jSkpaUhMTEReXl5OHz4sBanIiIiojCjep2Pq1evYtiwYXjggQfw0UcfoUuXLjh9+jQ6duyo9qmIiIgoDKkefCxfvhyZmZl47733Wm/r0aOH2qchIiKiMKX6ssumTZtw55134ic/+Qm6dOmC/Px8rF69WvJ4l8sFp9PZ5ouIiIgil+rBxzfffIMVK1YgOzsbH3/8MZ5++mk899xz+OMf/+jz+IKCAtjt9tavzMxMtYdEREREJqJ6Y7n4+Hjceeed2LdvX+ttzz33HA4dOoT9+/e3O97lcsHlcrV+73Q6kZmZGfaN5YiIiKKJksZyqs98pKenIycnp81tffv2xblz53web7PZkJKS0uaLiIiIIpfqwcewYcPw9ddft7ntxIkT6N69u9qnIiIiojCk+m6XOXPm4J577sGyZcvwyCOP4ODBg1i1ahVWrVql9qmIiMikmt0CDpZX4VJNA7okJ2BwVipirBajh0UmoXrOBwB8+OGHWLBgAU6ePImsrCzMnTsXTz75pKzHKlkzIiIi8ykqrcCSzWWoqG5ovS3dnoBF43IwOjfdwJGRlpRcvzUJPkLB4IOIKHwVlVbgmTXF8L6wiHMeb08dhE5J8ZwRiUBKrt+qL7sQEVF0anYLWLK5rF3gAaD1tpnriuH2OIAzItGJjeWIiEgVB8ur2iy1+OL2ikwqqxvwzJpiFJVWaDgyMhsGH0REFFCzW8D+01ewseQC9p++gmbvKALA9rJKxc8rPsuSzWU+n5MiE5ddiIjILzkJpM1uAR+UXAjq+QUAFdUNOPDNFQzr1VmNIZPJceaDiIgkiQmk3sspFV7LJQfLq1BV1xTSuZ79czG2fnkx4AwLhT/OfBARkU/+EkiBlhmLJZvLMCrHgUs1/nM95Lh2vQkz1h5pcxsTUiMTZz6IiMgnOQmkFdUNOFhehTOX6zUZg1RCqpwcFDIvznwQEZFPldXXZR138dp1rP38rCZjENBSI0ScYYmxWljELAJw5oOIiHyqqmuUdVzJ+av4rsYV+EAACbHKLztiQurB8irJHBRu2Q0vDD6IiMinb6/Jm/lQwhrCVafS2RCwiBm37IYHBh9ERNROs1vAxpKLso7tkZYk+3nrG93BDglVtS6/OSieMyRkbgw+iIionZats4GXXVKT4jB9aA90SozTdDzp9gSkJsXLOlaNnTekLQYfRETUjtwL+MS8WxEfa8Wk/Fs1G4sFwKJxOXDYO8g6vktygmZjIXVwtwsREbUj9wI+om9X7D99BR3iYzQZR6fEOBRM6o/RuelodgtItyegsrrBZ96HBYDD3tIpl8yNwQcREbVqdgs4WF6FyurrSE2KD7j0MuPPh1F9/YZm4ymcMgjDsltKrsdYLVg0LgfPrCmGBWgTgFhu/nfRuBzEWC3eT0Mmw+CDiIgA+O7hEoiWgQcAXK5ru4V3dG46Vkwb1G6cDtb5CCsMPoiIoow4u3GppgFdkluWKbaVVeKZNcWSpdSN4mv5Z3RuOkblONr9DJzxCB8MPoiIooiv2Q1HSgIabjSbLvDo2CEWbkHAxpIL7QKMGKsFQ3umGTxCChaDDyKiKCFWB/UOMiqd5tyaWt1wA4+9+3nr9yyhHjm41ZaIKAoE6lBrRoLXYFlCPXIw+CAiigJyOtSaHUuoRw4GH0REUSDUqp/euZxiRVO9UzxZQj0yMOeDiCgKBFv1UwwuCqfko1OSrd0OGaVbc9XCEurhjcEHEVEUGJyV6rc6KABYLEBKQmyb2h3+6mf42vJ6ta4RS7doH5CwhHp4Y/BBRBQFPKuDShGElqJhc0Zmo0fnpKDqZzyU68BDuS0Byd5T/0DhztNqDL8VS6hHBgYfRERRYnRuOt6eOggz1xVDKl/TAmD9ofPYM39EwKDDV80Qz+2wg7NS8bfiC6rNgrCEeuRgwikRURTplBQvGXgA8hM6xZoh3oGF53ZYcbbFAnUSUx32BKyYNoh1PiIAgw8ioigiN1HT33H+aoZ4b4cVe7E47KHlaCwc2xd75o9g4BEhuOxCRBRF5CZq+jsuUM0Qz9mToT3T2iWmfnGmCn86cE7WOMQcj58Py+JSSwRh8EGkIl8Nu0J9w2x2Czhw+gr2f3MZQEs/iyG3p/GNmIISaNeLnITOYGZPPHuxPJybjj9/fs7v8o84FoA5HpGIwQeRSgIl3wX7nM+//xWu1Te13la48xQ6Jsbh1Un9OQVNinnuerEAbQIQuRf7UGdP4mOtePIHWfjd7nK/j/e3zZfCG3M+iFQgJ/kumOd8ek1xm8BDdK2+CU+zxwUFSSoPQ25Cpzh7IhWeWNASePubPVkwJgdP3ZvVrnKqBcCDfb6HdU8OYY5HBLMIgnfrHmM5nU7Y7XZUV1cjJSXF6OEQBdTsFjB8+Q7JNXBxGlvO1kXP5xz26qeodLr8Hpeu8HmJPIWyTCgGx1JWytyV0njDjT/tP4OzVfXonpqI6UN7ID6Wn4vDkZLrN5ddiEKkNPlOzhv+wfKqgIEHvJ6XSCnPPAy1ud3yjouPteJff3C7JmMg82LwQRQiJcl3cvNClPStYI8L0pu41dafmeuKUYh8jBmQodOoKJxwbosoRHKT785crpedF6KkbwV7XJDeAs32AYBbAGasPcK8JPKJwQdRiOQk3zlSbFh38JysokziczpSbAHPnW5PwB3dO2Hvqcv4j4+/xn98/L/Ye/Jy6/MQaUHJbJvn3zWRSPPgo6CgABaLBbNnz9b6VESGELcuAu1LSIvfTxncDZVOeXkhYk7I2P6Bk/XGD0zH4GXb8di7n6Nw5ykU7jyNx37/Oe54eRs/cZJmlMy2ySnVTtFH0+Dj0KFDWLVqFQYMGKDlaYgMF2jrYo/OSbKeZ1tZJYYv34Epqw/g93vPAGhpc+7tFlsMHuzzPfxudzm34pLuxNk+uZiXRN40Szitra3FY489htWrV+Pll1/W6jREpuFdQtpzJ8v+01dkPcd/3Qw42rg5Y/1Qv664WteIYxVO1Lqa8en//iPg8y3edAyjchzcikuqEmf7/G219cS8JPKm2czHs88+i7Fjx2LkyJFanYLIdMStixPybsXQnv8sgT44KxUdE+OCek5xtfyTY9/h4JmrqHM1y35spdOFA9/IC3yIlBidm453pg5qVyTMk5xiYxSdNAk+1q9fj+LiYhQUFAQ81uVywel0tvkiikgh5twF+/Bn/8zlF9LGmAHpKJyS7/M+9mUhf1QPPs6fP49Zs2ZhzZo1SEgIPNVWUFAAu93e+pWZman2kIgMd7C8Cteut8/N0MO1601Bl3gnCmTMgAysnDaoXQ6I3FLtFJ1UL6++YcMGTJw4ETExMa23NTc3w2KxwGq1wuVytbnP5XLB5fpnJUen04nMzEyWV6eIsrHkAmatLzHs/MGUeCdSQouOzhReDC2v/uCDD+Krr75qc9vjjz+OPn36YP78+W0CDwCw2Wyw2QLXMyAKZ0Yn3HmXeCdSm5al2inyqB58JCcnIzc3t81tSUlJSEtLa3c7UbS4UhO4T4seuOWRiMyAFU6JNFZUWoGZ648YPQwAxs/AEBEBOjWW++yzz/Q4DZHpNN5w498/KDV6GAC45ZGIzIMzH0QaKSqtwJCC7aiqazR6KABaSrEzAZCIzIDBB5EGikor8MyaYlTVGbO91pdNRyvY4IuITIHBB5HKmt0ClmwuC7WmmOrY4IuIzEKXnA+icBVM7YKD5VWoqDbnrhLudiEiM2DwQSShqLQCSzaXtQkk0u0JWDQux2/VRqUXeAuAlA6xqL5+I9ihysbdLkRkBlx2IfJBzNnwnsGorG4IWKpc6QVeAPD4PVnBDFM2NvgiIjNh8EHkxV/Ohnjbks1lksmbg7NSkW5PgJJ9JTc0TARlgy8iMhsGH0ReAuVseJYq9yXGasGicTmKzqnmLpTUpPg237PBFxGZDXM+iLzIzdnwd9zo3HSsmDYIv/yfEtS63AGfq/TCNbnD8yvdnoBd8x7A4bNX2eCLiEyLwQeRF7k5G4GOG52bjr2nruBPB84GfK6/n7ri934LAIsFCDRBsnBsDuJjrWzwRUSmxmUXIi+BcjaUJG/2SEtUZUwCAgceANDJa8mFiMiMGHwQefHM2fAOQJQmb04f2gNqrHg8nNtV1nGs40FE4YDBB5EPYs6Gw952aUVp8mZ8rBVP/iD0bbQ9v5cs6zjW8SCicMCcDyIJo3PTMSrHobjCqbcFY1pmUVbtLg+65PrQnmn4W/G3qKxu8PkcFrQERqzjQUThgDMfRH7EWC0Y2jMNE/JuxdCeaUHvGlkwJgd/fGKw4seJ+SVDbk9TbSmIiMhoDD6IdHJPr86Kio95BxVqLQURERnNIgiCqZpvOp1O2O12VFdXIyUlxejhEKlKLNsOIOASjFQfmWCa3RERaU3J9ZvBB5HOpBrWLRzbF52SbAwqiCgsKbl+M+GUSGdqJbISEYUrBh9EBhATWYmIohETTomIiEhXDD6IiIhIVww+iIiISFcMPoiIiEhXDD6IiIhIVww+iIiISFcMPoiIiEhXDD6IiIhIVww+iIiISFemq3AqtppxOp0Gj4SIiIjkEq/bclrGmS74qKmpAQBkZmYaPBIiIiJSqqamBna73e8xputq63a7cfHiRSQnJ8NiMXejLafTiczMTJw/fz5qO/DyNWjB16EFX4cWfB34Goii6XUQBAE1NTXIyMiA1eo/q8N0Mx9WqxW33Xab0cNQJCUlJeL/qALha9CCr0MLvg4t+DrwNRBFy+sQaMZDxIRTIiIi0hWDDyIiItIVg48Q2Gw2LFq0CDabzeihGIavQQu+Di34OrTg68DXQMTXwTfTJZwSERFRZOPMBxEREemKwQcRERHpisEHERER6YrBBxEREemKwUeICgoKYLFYMHv2bKOHorsLFy5g2rRpSEtLQ2JiIvLy8nD48GGjh6WrGzdu4MUXX0RWVhY6dOiA22+/Hb/61a/gdruNHpqmdu/ejXHjxiEjIwMWiwUbNmxoc78gCFi8eDEyMjLQoUMH3H///Th27Jgxg9WIv9egqakJ8+fPR//+/ZGUlISMjAz89Kc/xcWLF40bsEYC/S14euqpp2CxWPDmm2/qNj69yHkdjh8/jvHjx8NutyM5ORlDhgzBuXPn9B+sCTD4CMGhQ4ewatUqDBgwwOih6O7q1asYNmwY4uLi8NFHH6GsrAy/+c1v0LFjR6OHpqvly5dj5cqVKCwsxPHjx/Haa6/h17/+NX77298aPTRN1dXVYeDAgSgsLPR5/2uvvYbXX38dhYWFOHToEBwOB0aNGtXauykS+HsN6uvrUVxcjIULF6K4uBjvv/8+Tpw4gfHjxxswUm0F+lsQbdiwAZ9//jkyMjJ0Gpm+Ar0Op0+fxvDhw9GnTx989tlnOHr0KBYuXIiEhASdR2oSAgWlpqZGyM7OFrZt2ybcd999wqxZs4wekq7mz58vDB8+3OhhGG7s2LHCE0880ea2SZMmCdOmTTNoRPoDIHzwwQet37vdbsHhcAivvvpq620NDQ2C3W4XVq5cacAItef9Gvhy8OBBAYBw9uxZfQZlAKnX4dtvvxVuvfVWobS0VOjevbvwxhtv6D42Pfl6HR599NGoel8IhDMfQXr22WcxduxYjBw50uihGGLTpk2488478ZOf/ARdunRBfn4+Vq9ebfSwdDd8+HB8+umnOHHiBADg6NGj2LNnD8aMGWPwyIxTXl6OyspK/PCHP2y9zWaz4b777sO+ffsMHJmxqqurYbFYom520O12Y/r06Zg3bx769etn9HAM4Xa7sWXLFvTu3RsPPfQQunTpgrvvvtvvElWkY/ARhPXr16O4uBgFBQVGD8Uw33zzDVasWIHs7Gx8/PHHePrpp/Hcc8/hj3/8o9FD09X8+fMxZcoU9OnTB3FxccjPz8fs2bMxZcoUo4dmmMrKSgBA165d29zetWvX1vuiTUNDA55//nlMnTo1KpqLeVq+fDliY2Px3HPPGT0Uw1y6dAm1tbV49dVXMXr0aHzyySeYOHEiJk2ahF27dhk9PEOYrqut2Z0/fx6zZs3CJ598Er1rdWiJ5O+8804sW7YMAJCfn49jx45hxYoV+OlPf2rw6PTzl7/8BWvWrMHatWvRr18/lJSUYPbs2cjIyMDPfvYzo4dnKIvF0uZ7QRDa3RYNmpqaMHnyZLjdbrzzzjtGD0dXhw8fxltvvYXi4uKo/N2LxAT0CRMmYM6cOQCAvLw87Nu3DytXrsR9991n5PAMwZkPhQ4fPoxLly7hjjvuQGxsLGJjY7Fr1y7853/+J2JjY9Hc3Gz0EHWRnp6OnJycNrf17ds36jK3582bh+effx6TJ09G//79MX36dMyZMyeqZ8UcDgcAtJvluHTpUrvZkEjX1NSERx55BOXl5di2bVvUzXr8/e9/x6VLl9CtW7fW98uzZ8/iF7/4BXr06GH08HTTuXNnxMbG8j3TA2c+FHrwwQfx1Vdftbnt8ccfR58+fTB//nzExMQYNDJ9DRs2DF9//XWb206cOIHu3bsbNCJj1NfXw2ptG8PHxMRE/FZbf7KysuBwOLBt2zbk5+cDABobG7Fr1y4sX77c4NHpRww8Tp48iZ07dyItLc3oIelu+vTp7fLiHnroIUyfPh2PP/64QaPSX3x8PO666y6+Z3pg8KFQcnIycnNz29yWlJSEtLS0drdHsjlz5uCee+7BsmXL8Mgjj+DgwYNYtWoVVq1aZfTQdDVu3Di88sor6NatG/r164cjR47g9ddfxxNPPGH00DRVW1uLU6dOtX5fXl6OkpISpKamolu3bpg9ezaWLVuG7OxsZGdnY9myZUhMTMTUqVMNHLW6/L0GGRkZ+PGPf4zi4mJ8+OGHaG5ubp0JSk1NRXx8vFHDVl2gvwXvoCsuLg4OhwPf//739R6qpgK9DvPmzcOjjz6Ke++9Fw888ACKioqwefNmfPbZZ8YN2khGb7eJBNG41VYQBGHz5s1Cbm6uYLPZhD59+girVq0yeki6czqdwqxZs4Ru3boJCQkJwu233y688MILgsvlMnpomtq5c6cAoN3Xz372M0EQWrbbLlq0SHA4HILNZhPuvfde4auvvjJ20Crz9xqUl5f7vA+AsHPnTqOHrqpAfwveInWrrZzX4fe//73Qq1cvISEhQRg4cKCwYcMG4wZsMIsgCIJegQ4RERERE06JiIhIVww+iIiISFcMPoiIiEhXDD6IiIhIVww+iIiISFcMPoiIiEhXDD6IiIhIVww+iIiISFcMPoiIiEhXDD6IiIhIVww+iIiISFcMPoiIiEhX/z/ssqMr4jFZ2gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_details = {\n",
    "    0:(\"2d-4c-no4.arff\", 10),\n",
    "    1:(\"2d-10c.arff\", 7),\n",
    "    2:(\"aggregation.arff\", 12),\n",
    "    3:(\"D31.arff\", 11),\n",
    "    4:(\"impossible.arff\", 10),\n",
    "    5:(\"R15.arff\", 10),\n",
    "    6:(\"twenty.arff\", 8),\n",
    "}\n",
    "\n",
    "# Select synthetic data set\n",
    "data_id = 5\n",
    "path, skiprows = data_details[data_id]\n",
    "X, y = get_artificial2D(path, skiprows)\n",
    "\n",
    "plt.scatter(X[:,0], X[:,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot $k$-th clustering solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "color_list = list(mcolors.CSS4_COLORS.keys()) + list(mcolors.XKCD_COLORS.keys())\n",
    "np.random.shuffle(color_list)\n",
    "color_list = ['royalblue', 'gold', 'deepskyblue', 'hotpink', 'mediumorchid', 'crimson', 'salmon', 'limegreen'] + color_list\n",
    "\n",
    "def plot_solution(X, centroids, kmeans_labels, kmeans_centers):\n",
    "    # Figure\n",
    "    fig, ax = plt.subplots(figsize=(8, 8))\n",
    "    plt.title('{}-means solution'.format(centroids), fontsize=15)\n",
    "    \n",
    "    for axis in ['top','bottom','left','right']:\n",
    "        ax.spines[axis].set_linewidth(2.0)\n",
    "    \n",
    "    # Data scatters\n",
    "    ax.scatter(X[:,0], X[:,1], edgecolors='none', c=[color_list[kmeans_labels[i]] for i in range(kmeans_labels.shape[0])],  s=20)\n",
    "    ax.scatter(kmeans_centers[:,0], kmeans_centers[:,1], c='r', marker='*', s=500, edgecolors='black')\n",
    "\n",
    "    # Legend\n",
    "    leg_data = Line2D([0], [0], marker='o', color='w', markerfacecolor='black', label='Datapoint', markeredgecolor='black', markersize=10)\n",
    "    leg_centers = Line2D([0], [0], marker='*', color='w', markerfacecolor='r', label='Center', markeredgecolor='black', markersize=20)\n",
    "    legend = ax.legend(handles=[leg_data, leg_centers],loc='upper left', fontsize=15)\n",
    "    \n",
    "    #legend = ax.legend(['Data', 'Centers', 'Candidates'], loc='upper right', fontsize=13)\n",
    "    legend.get_frame().set_linewidth(2.0)\n",
    "    legend.get_frame().set_edgecolor('black')\n",
    "    legend.legendHandles[0].set_color('w')\n",
    "    \n",
    "    # Axes\n",
    "    #ax.xlim([-0.2, 1.2])\n",
    "    #ax.ylim([-0.2, 1.2])\n",
    "    plt.xticks([])\n",
    "    plt.yticks([]) \n",
    "    \n",
    "    # plt.show()\n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "    plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Global $k$-means++ example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Select number of clusters K\n",
    "n_clusters = 15\n",
    "\n",
    "# Select number of candidates L \n",
    "n_candidates = 25\n",
    "\n",
    "method = {0: 'batch', 1: 'sequential'}\n",
    "\n",
    "# option=0 selects the k-means++ with batch sampling\n",
    "# option=1 selects the k-means++ with sequential sampling\n",
    "option = 0\n",
    "\n",
    "# Same as in sklearn k-means method\n",
    "verbose = 1\n",
    "\n",
    "global_kmeans_pp = GlobalKMeansPP(n_clusters=n_clusters, n_candidates=n_candidates, sampling=method[option], verbose=verbose)\n",
    "global_kmeans_pp.fit(X)\n",
    "labels_at_K = global_kmeans_pp.predict(X) # provides only the final solution\n",
    "\n",
    "clusters = global_kmeans_pp.labels_ # provides a dict with all clustering solution\n",
    "centroids = global_kmeans_pp.cluster_centers_ # provides a dict with all center centroids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Select k to plot solution which clustering solution you want to visualize\n",
    "k = 15\n",
    "plot_solution(X, \"{:d}\".format(k), clusters[k], centroids[k])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Global $k$-means example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Select number of clusters K\n",
    "n_clusters = 15\n",
    "\n",
    "# Same as in sklearn k-means method\n",
    "verbose = 1\n",
    "\n",
    "global_kmeans = GlobalKMeans(n_clusters=n_clusters, verbose=verbose)\n",
    "global_kmeans.fit(X)\n",
    "labels_at_K = global_kmeans.predict(X)\n",
    "\n",
    "clusters = global_kmeans.labels_ # provides a dict with all clustering solution\n",
    "centroids = global_kmeans.cluster_centers_ # provides a dict with all center centroids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Select k to plot solution which clustering solution you want to visualize\n",
    "k = 15\n",
    "plot_solution(X, \"{:d}\".format(k), clusters[k], centroids[k])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
